## Elements of Natural Philosophy, Volume 1 |

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Page 3

... angle through which the tangent has turned as we pass from one extremity to

the other . The average curvature of any portion is its whole curvature divided by

its length . Suppose a line , drawn through any

...

... angle through which the tangent has turned as we pass from one extremity to

the other . The average curvature of any portion is its whole curvature divided by

its length . Suppose a line , drawn through any

**fixed**point , to turn so as always to...

Page 4

If ( A being

the portions AB and PB will be shortened by one - half of PP . Hence , LA when P

moves through any space in the direction of the cord , the pulley B B moves in ...

If ( A being

**fixed**) a point P of the cord P be moved to P , it is evident that each ofthe portions AB and PB will be shortened by one - half of PP . Hence , LA when P

moves through any space in the direction of the cord , the pulley B B moves in ...

Page 5

Of course , if a pulley be

from it involves an equal motion of the other ... Thus , in drawing an ellipse , the

focal property of the curve shows us that if we

foci ...

Of course , if a pulley be

**fixed**, the motion of a point of one end of the cord to orfrom it involves an equal motion of the other ... Thus , in drawing an ellipse , the

focal property of the curve shows us that if we

**fix**the ends of such a cord to thefoci ...

Page 9

... parts of its velocity in

acceleration is merely a change of the component velocity in a stated direction , it

is evident that its laws of composition and resolution are the same as those of ...

... parts of its velocity in

**fixed**directions will , in general , be accelerated . And asacceleration is merely a change of the component velocity in a stated direction , it

is evident that its laws of composition and resolution are the same as those of ...

Page 12

When the acceleration is directed to a

through that point ; and in this plane the areas traced out by the radius - vector

are proportional to the times employed . This includes the case of a satellite or ...

When the acceleration is directed to a

**fixed**point , the path is in a plane passingthrough that point ; and in this plane the areas traced out by the radius - vector

are proportional to the times employed . This includes the case of a satellite or ...

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### Common terms and phrases

acceleration according acting action amount angle angular applied attraction axes axis body called centre centre of inertia circle component condition consider constant corresponding couple course curvature curve denote density described determined direction displacement distance divided effect elastic elements energy equal equations equilibrium evidently expression figure fixed fluid force friction give given gravity harmonic Hence important increase infinitely small instant interval kinetic length less mass matter mean measured method motion moving natural normal observation opposite parallel particle passing path perpendicular plane portion position potential practical pressure principle problem produce projection proportional quantity radius reference relative remain remarkable respectively rest resultant right angles rigid rotation round sides simple solid space spherical square straight strain stress suppose surface theory turned uniform unit velocity weight whole wire